131033332100 has 54 divisors (see below), whose sum is σ = 312541598922. Its totient is φ = 47648480000.

The previous prime is 131033332081. The next prime is 131033332121. The reversal of 131033332100 is 1233330131.

It can be written as a sum of positive squares in 3 ways, for example, as 30852219904 + 100181112196 = 175648^2 + 316514^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5402501 + ... + 5426700.

Almost surely, 2^131033332100 is an apocalyptic number.

131033332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131033332100 is an abundant number, since it is smaller than the sum of its proper divisors (181508266822).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131033332100 is a wasteful number, since it uses less digits than its factorization.

131033332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10829237 (or 10829219 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 131033332100 its reverse (1233330131), we get a palindrome (132266662231).

The spelling of 131033332100 in words is "one hundred thirty-one billion, thirty-three million, three hundred thirty-two thousand, one hundred".